Brenno
I can confirm what Seb has reported here.
Your report is about a totally different scenario, you are using SME7.6, seb is using SME8.1 (by assumption of course as the post was in the SME8 forum & the server is fully updated).
There were a lot of changes between SME7.6 & 8.0 (8.1) that could be involved, please read the release notes for SME8.0.
"Cannot get mail. The server xxxx.xx is not responding.
You really need to review log files on your sme7.6 to get more specific details & error messages, there are usually strong clues provided in log files as to the nature of the problem.
....Apple has quietly dropped support for older versions of SSL.....
Well that is a possibility, needs further investigation.
Re your SME7.6:
I doubt very much that anybody here or externally will do any work on updating SME7.6 packages, that version is obsolete (by quite a few years), & it is a relatively easy exercise to upgrade to SME8.1 (at least) which can be achieved by CD or yum upgrade.
My recommendation of course would be to move to SME9.0 or even 9.1beta2 (note that 9.1 final is soon to be released)
If there is resistance to upgrading, then tell them that SME7.6 is insecure (which it is) & the server needs newer packages or whatever to work with newer external devices etc.
If you are using SME7.6 on public networks for email, which you imply you are, then you are running an insecure server, it's as simpe as that.
Your problem may simply be related to using a very old SME 7.6 server.
....Aside, yes - I know that 7.6 is very outdated, so let's not get into that conversation here.
Well it is hard not to get involved in that sort of discussion, becasuse it is necessary.
....The question for me, at least while still on this version of SME - and apparently on newer versions, too - is can we update these boxes to work with the new SSL requirements?
Well that is not strictly true about newer versions of SME server.
In my post immediately before this one, I demonstrated that iOS 9 on an iPhone 5 can access mail on a SME8.1 fully updated server, using SSL on ports 465 & 993, so it does work OK (for me), both sending & receiving.
That suggests there will be localised issues if it is not working correctly for seb.
So to me that is suggestive that there is no inherent problem (fault) with either device or the combination of the two (iOS 9 & SME8.1).
I think for you it may be time to do an upgrade to SME8.1. You could test it out in a VM first if you want proof.
I will try shortly with a SME 9 & 9.1b2 servers, but I expect all will be OK.
I will also access a iPhone 6+ later today & test that too.
Probably as has already been suggested, this original post by seb would be best reported as a bug, & then proper investigation can be done.